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Simplifying (5d + -8)(d + -1) = 0 Reorder the terms: (-8 + 5d)(d + -1) = 0 Reorder the terms: (-8 + 5d)(-1 + d) = 0 Multiply (-8 + 5d) * (-1 + d) (-8(-1 + d) + 5d * (-1 + d)) = 0 ((-1 * -8 + d * -8) + 5d * (-1 + d)) = 0 ((8 + -8d) + 5d * (-1 + d)) = 0 (8 + -8d + (-1 * 5d + d * 5d)) = 0 (8 + -8d + (-5d + 5d2)) = 0 Combine like terms: -8d + -5d = -13d (8 + -13d + 5d2) = 0 Solving 8 + -13d + 5d2 = 0 Solving for variable 'd'. Factor a trinomial. (1 + -1d)(8 + -5d) = 0Subproblem 1
Set the factor '(1 + -1d)' equal to zero and attempt to solve: Simplifying 1 + -1d = 0 Solving 1 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = 0 + -1 -1d = 0 + -1 Combine like terms: 0 + -1 = -1 -1d = -1 Divide each side by '-1'. d = 1 Simplifying d = 1Subproblem 2
Set the factor '(8 + -5d)' equal to zero and attempt to solve: Simplifying 8 + -5d = 0 Solving 8 + -5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5d = 0 + -8 -5d = 0 + -8 Combine like terms: 0 + -8 = -8 -5d = -8 Divide each side by '-5'. d = 1.6 Simplifying d = 1.6Solution
d = {1, 1.6}
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